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Complex Analysis and Special Topics in Harmonic Analysis

  • Book
  • © 1995

Overview

Authors:
  1. Carlos A. Berenstein

    1. Mathematics Department and Institute for Systems Research, University of Maryland, College Park, USA

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  2. Roger Gay

    1. Centre de Recherche en Mathématiques, Université de Bordeaux I, Talence (cedex), France

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    You can also search for this author in PubMed   Google Scholar

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-x
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  2. Boundary Values of Holomorphic Functions and Analytic Functionals

    • Carlos A. Berenstein, Roger Gay
    Pages 1-108

  3. Interpolation and the Algebras AP

    • Carlos A. Berenstein, Roger Gay
    Pages 109-197

  4. Exponential Polynomials

    • Carlos A. Berenstein, Roger Gay
    Pages 198-259

  5. Integral Valued Entire Functions

    • Carlos A. Berenstein, Roger Gay
    Pages 260-298

  6. Summation Methods

    • Carlos A. Berenstein, Roger Gay
    Pages 299-352

  7. Harmonic Analysis

    • Carlos A. Berenstein, Roger Gay
    Pages 353-469

  8. Back Matter

    Pages 471-482
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Keywords

About this book

A companion volume to the text "Complex Variables: An Introduction" by the same authors, this book further develops the theory, continuing to emphasize the role that the Cauchy-Riemann equation plays in modern complex analysis. Topics considered include: Boundary values of holomorphic functions in the sense of distributions; interpolation problems and ideal theory in algebras of entire functions with growth conditions; exponential polynomials; the G transform and the unifying role it plays in complex analysis and transcendental number theory; summation methods; and the theorem of L. Schwarz concerning the solutions of a homogeneous convolution equation on the real line and its applications in harmonic function theory.

Authors and Affiliations

  • Mathematics Department and Institute for Systems Research, University of Maryland, College Park, USA

    Carlos A. Berenstein

  • Centre de Recherche en Mathématiques, Université de Bordeaux I, Talence (cedex), France

    Roger Gay

Bibliographic Information

  • Book Title: Complex Analysis and Special Topics in Harmonic Analysis

  • Authors: Carlos A. Berenstein, Roger Gay

  • DOI: https://doi.org/10.1007/978-1-4613-8445-8

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York, Inc. 1995

  • Softcover ISBN: 978-1-4613-8447-2Published: 08 November 2011

  • eBook ISBN: 978-1-4613-8445-8Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: X, 482

  • Topics: Analysis, Topological Groups, Lie Groups

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